• Media type: Report; E-Book
  • Title: Adjustment Dynamics and Rational Play in Games
  • Contributor: Swinkels, Jeroen M. [Author]
  • Published: Evanston, IL: Northwestern University, Kellogg School of Management, Center for Mathematical Studies in Economics and Management Science, 1991
  • Language: English
  • Keywords: learning ; dynamics ; dynamic stability ; strategic stability ; game theory ; C72 ; adjustment dynamics ; evolution
  • Origination:
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  • Description: When a strategic situation arises repeatedly, the possibility arises that equilibrium predictions can be justified by a dynamic adjustment process. We examine myopic adjustment dynamics, a class that includes replicator dynamics from evolutionary game theory, simple models of imitation, models of experimentation and adjustment, and some simple learning dynamics. We present a series of theorems showing conditions under which behavior that is asymptotically stable under some such dynamic is strategically stable (Kohlberg and Mertens [1986]). This behavior is thus as if the agents in the economy satisfied the extremely stringent assumptions that game theory traditionally makes about rationality and beliefs.
  • Access State: Open Access